20. Let S be the sample space of an experiment. Let A and B be two events...

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20. Let S be the sample space of an experiment. Let A and B be two events of S. Let IA and IB be the indicator variables for A and B. That is,

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Show that IA and IB are positively correlated if and only if P(A | B) > P(A), and if and only if P(B | A) > P(B).

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